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10990099120 = 24571113137239
BaseRepresentation
bin10100011110000111…
…11001101010110000
31001100220210212210011
422033003321222300
5140001431132440
65014311544304
7536226205210
oct121703715260
931326725704
1010990099120
11472a696150
12216868b094
131061b6bc40
14763854240
15444c859ea
hex28f0f9ab0

10990099120 has 160 divisors (see below), whose sum is σ = 34307804160. Its totient is φ = 3161963520.

The previous prime is 10990099093. The next prime is 10990099121. The reversal of 10990099120 is 2199009901.

10990099120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10990099121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11461 + ... + 148699.

It is an arithmetic number, because the mean of its divisors is an integer number (214423776).

Almost surely, 210990099120 is an apocalyptic number.

10990099120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10990099120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17153902080).

10990099120 is an abundant number, since it is smaller than the sum of its proper divisors (23317705040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10990099120 is a wasteful number, since it uses less digits than its factorization.

10990099120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137283 (or 137277 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 40.

The spelling of 10990099120 in words is "ten billion, nine hundred ninety million, ninety-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 715 728 770 880 910 1001 1040 1144 1232 1430 1456 1540 1820 2002 2288 2860 3080 3640 4004 5005 5720 6160 7280 8008 10010 11440 16016 20020 40040 80080 137239 274478 548956 686195 960673 1097912 1372390 1509629 1784107 1921346 2195824 2744780 3019258 3568214 3842692 4803365 5489560 6038516 7136428 7548145 7685384 8920535 9606730 10567403 10979120 12077032 12488749 14272856 15096290 15370768 17841070 19213460 19625177 21134806 24154064 24977498 28545712 30192580 35682140 38426920 39250354 42269612 49954996 52837015 60385160 62443745 71364280 76853840 78500708 84539224 98125885 99909992 105674030 120770320 124887490 137376239 142728560 157001416 169078448 196251770 199819984 211348060 249774980 274752478 314002832 392503540 422696120 499549960 549504956 686881195 785007080 845392240 999099920 1099009912 1373762390 1570014160 2198019824 2747524780 5495049560 10990099120